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Implication

Identify the ...

Question

Identify the false statement.

$\sim (p \lor \sim q) =\sim p \land q$

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$\sim (p \lor q) =\sim p \lor \sim q$

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$(p \land q) \land \sim p$ is a contradiction

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$(p \lor q) \lor \sim p$ is a tautology

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Solution

The correct option is B
$\sim (p \lor q) =\sim p \lor \sim q$

$\sim (p \land q) =\sim p \land \sim q$

Hence option B is false.

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Similar questions

(S_{1}) : (q \lor p) \to (p \leftrightarrow\sim q)

(S_{2}) :\sim q \land (\sim p \leftrightarrow q)

[p \land (p \to q)] \to p

(p \land \sim q) \land (\sim p \land q)

(p \to q) \leftrightarrow (\sim q \to\sim p)

(p \lor q) \lor (p \lor \sim q)

(p \land q) \land (p \lor \sim q)

(p \lor q) \land (p \lor \sim q)

(p \lor q) \lor (p \land \sim q)

(S 1) : (p \to q) \lor (\sim q \to p)

(S 2) : (p \land \sim q) \land (\sim p \lor q)

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